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Finding the Third Proportional to 9,774 and 21,063.38

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Solution

The third proportional to 9,774 and 21,063.38 is: 45,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 21,063.38 = 21,063.38 : x
  2. Step 2: Convert to fraction form
    9,774/21,063.38 = 21,063.38/x
  3. Step 3: Cross multiply
    9,774x = 21,063.38 × 21,063.38
  4. Step 4: Simplify right side
    9,774x = 443,665,766.39
  5. Step 5: Solve for x
    x = 443,665,766.39/9,774
  6. Step 6: Final answer
    x = 45,392.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.